88493832 has 96 divisors (see below), whose sum is σ = 277879680. Its totient is φ = 24917760.

The previous prime is 88493831. The next prime is 88493837. The reversal of 88493832 is 23839488.

88493832 is a `hidden beast` number, since 88 + 493 + 83 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88493831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34548 + ... + 37020.

It is an arithmetic number, because the mean of its divisors is an integer number (2894580).

Almost surely, 2^88493832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88493832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138939840).

88493832 is an abundant number, since it is smaller than the sum of its proper divisors (189385848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88493832 is a wasteful number, since it uses less digits than its factorization.

88493832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2556 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 88493832 is about 9407.1160298999. The cubic root of 88493832 is about 445.6264912314.

The spelling of 88493832 in words is "eighty-eight million, four hundred ninety-three thousand, eight hundred thirty-two".